{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5.5. Accelerating Python code with Cython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "size = 400\n",
    "iterations = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext cython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "podoc": {
     "output_text": "<IPython.core.display.HTML object>"
    }
   },
   "outputs": [
    {
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      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cython -a\n",
    "import numpy as np\n",
    "\n",
    "def mandelbrot_cython(m, size, iterations):\n",
    "    for i in range(size):\n",
    "        for j in range(size):\n",
    "            c = -2 + 3./size*j + 1j*(1.5-3./size*i)\n",
    "            z = 0\n",
    "            for n in range(iterations):\n",
    "                if np.abs(z) <= 10:\n",
    "                    z = z*z + c\n",
    "                    m[i, j] = n\n",
    "                else:\n",
    "                    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "s = (size, size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.52 s ± 0 ns per loop (mean ± std. dev. of 1 run,\n",
      "    1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit -n1 -r1 m = np.zeros(s, dtype=np.int32)\n",
    "mandelbrot_cython(m, size, iterations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "podoc": {
     "output_text": "<IPython.core.display.HTML object>"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cython -a\n",
    "import numpy as np\n",
    "\n",
    "def mandelbrot_cython(int[:,::1] m,\n",
    "                      int size,\n",
    "                      int iterations):\n",
    "    cdef int i, j, n\n",
    "    cdef complex z, c\n",
    "    for i in range(size):\n",
    "        for j in range(size):\n",
    "            c = -2 + 3./size*j + 1j*(1.5-3./size*i)\n",
    "            z = 0\n",
    "            for n in range(iterations):\n",
    "                if z.real**2 + z.imag**2 <= 100:\n",
    "                    z = z*z + c\n",
    "                    m[i, j] = n\n",
    "                else:\n",
    "                    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12.7 ms ± 0 ns per loop (mean ± std. dev. of 1 run,\n",
      "    1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit -n1 -r1 m = np.zeros(s, dtype=np.int32)\n",
    "mandelbrot_cython(m, size, iterations)"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
